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Controllability of fractional differential evolution equation of order γ ∈ (1, 2) with nonlocal conditions

AIMS Mathematics, ISSN: 2473-6988, Vol: 8, Issue: 6, Page: 14188-14206
2023
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Article Description

This paper investigates the existence of positive mild solutions and controllability for fractional differential evolution equations of order γ ∈ (1, 2) with nonlocal conditions in Banach spaces. Our approach is based on Schauder’s fixed point theorem, Krasnoselskii’s fixed point theorem, and the Arzelà-Ascoli theorem. Finally, we include an example to verify our theoretical results.

Bibliographic Details

Sadam Hussain; Muhammad Sarwar; Kamal Shah; Kottakkaran Sooppy Nisar

American Institute of Mathematical Sciences (AIMS)

Mathematics

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